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Implementing Elliptic Curve Cryptography

Implementing Elliptic Curve Cryptography
Author: Michael Rosing
Publisher: Manning Publications
Total Pages: 0
Release: 1999
Genre: Computer security
ISBN: 9781884777691

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Implementing Elliptic Curve Cryptography proceeds step-by- step to explain basic number theory, polynomial mathematics, normal basis mathematics and elliptic curve mathematics. With these in place, applications to cryptography are introduced. The book is filled with C code to illustrate how mathematics is put into a computer, and the last several chapters show how to implement several cryptographic protocols. The most important is a description of P1363, an IEEE draft standard for public key cryptography. The main purpose of Implementing Elliptic Curve Cryptography is to help "crypto engineers" implement functioning, state-of-the- art cryptographic algorithms in the minimum time.


Guide to Elliptic Curve Cryptography

Guide to Elliptic Curve Cryptography
Author: Darrel Hankerson
Publisher: Springer Science & Business Media
Total Pages: 328
Release: 2006-06-01
Genre: Computers
ISBN: 0387218467

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After two decades of research and development, elliptic curve cryptography now has widespread exposure and acceptance. Industry, banking, and government standards are in place to facilitate extensive deployment of this efficient public-key mechanism. Anchored by a comprehensive treatment of the practical aspects of elliptic curve cryptography (ECC), this guide explains the basic mathematics, describes state-of-the-art implementation methods, and presents standardized protocols for public-key encryption, digital signatures, and key establishment. In addition, the book addresses some issues that arise in software and hardware implementation, as well as side-channel attacks and countermeasures. Readers receive the theoretical fundamentals as an underpinning for a wealth of practical and accessible knowledge about efficient application. Features & Benefits: * Breadth of coverage and unified, integrated approach to elliptic curve cryptosystems * Describes important industry and government protocols, such as the FIPS 186-2 standard from the U.S. National Institute for Standards and Technology * Provides full exposition on techniques for efficiently implementing finite-field and elliptic curve arithmetic * Distills complex mathematics and algorithms for easy understanding * Includes useful literature references, a list of algorithms, and appendices on sample parameters, ECC standards, and software tools This comprehensive, highly focused reference is a useful and indispensable resource for practitioners, professionals, or researchers in computer science, computer engineering, network design, and network data security.


Advanced Communications and Multimedia Security

Advanced Communications and Multimedia Security
Author: Borka Jerman-Blazic
Publisher: Springer
Total Pages: 320
Release: 2002-08-31
Genre: Business & Economics
ISBN: 9781402072062

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Advanced Communications and Multimedia Security presents a state-of-the-art review of current perspectives as well as the latest developments in the area of communications and multimedia security. It examines requirements, issues and solutions pertinent to securing information networks, and identifies future security-related research challenges. A wide spectrum of topics is discussed, including: -Applied cryptography; -Biometry; -Communication systems security; -Applications security; Mobile security; -Distributed systems security; -Digital watermarking and digital signatures. This volume comprises the proceedings of the sixth Joint Working Conference on Communications and Multimedia Security (CMS'02), which was sponsored by the International Federation for Information Processing (IFIP) and held in September 2002 in Portoroz, Slovenia. It constitutes essential reading for information security specialists, researchers and professionals working in the area of computer science and communication systems.


Elliptic Curves in Cryptography

Elliptic Curves in Cryptography
Author: Ian F. Blake
Publisher: Cambridge University Press
Total Pages: 228
Release: 1999-07-08
Genre: Computers
ISBN: 9780521653749

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This book summarizes knowledge built up within Hewlett-Packard over a number of years, and explains the mathematics behind practical implementations of elliptic curve systems. Due to the advanced nature of the mathematics there is a high barrier to entry for individuals and companies to this technology. Hence this book will be invaluable not only to mathematicians wanting to see how pure mathematics can be applied but also to engineers and computer scientists wishing (or needing) to actually implement such systems.


Elliptic Tales

Elliptic Tales
Author: Avner Ash
Publisher: Princeton University Press
Total Pages: 277
Release: 2012
Genre: Mathematics
ISBN: 0691151199

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Describes the latest developments in number theory by looking at the Birch and Swinnerton-Dyer Conjecture.


Elliptic Curves

Elliptic Curves
Author: Lawrence C. Washington
Publisher: CRC Press
Total Pages: 533
Release: 2008-04-03
Genre: Computers
ISBN: 1420071475

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Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional exercises, this edition offers more comprehensive coverage of the fundamental theory, techniques, and application


Advances in Computing and Communications, Part II

Advances in Computing and Communications, Part II
Author: Ajith Abraham
Publisher: Springer
Total Pages: 744
Release: 2011-07-08
Genre: Computers
ISBN: 3642227147

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This volume is the second part of a four-volume set (CCIS 190, CCIS 191, CCIS 192, CCIS 193), which constitutes the refereed proceedings of the First International Conference on Computing and Communications, ACC 2011, held in Kochi, India, in July 2011. The 72 revised full papers presented in this volume were carefully reviewed and selected from a large number of submissions. The papers are organized in topical sections on database and information systems; distributed software development; human computer interaction and interface; ICT; internet and Web computing; mobile computing; multi agent systems; multimedia and video systems; parallel and distributed algorithms; security, trust and privacy.


Elliptic Curves and Their Applications to Cryptography

Elliptic Curves and Their Applications to Cryptography
Author: Andreas Enge
Publisher: Springer Science & Business Media
Total Pages: 184
Release: 1999-08-31
Genre: Computers
ISBN: 0792385896

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Since their invention in the late seventies, public key cryptosystems have become an indispensable asset in establishing private and secure electronic communication, and this need, given the tremendous growth of the Internet, is likely to continue growing. Elliptic curve cryptosystems represent the state of the art for such systems. Elliptic Curves and Their Applications to Cryptography: An Introduction provides a comprehensive and self-contained introduction to elliptic curves and how they are employed to secure public key cryptosystems. Even though the elegant mathematical theory underlying cryptosystems is considerably more involved than for other systems, this text requires the reader to have only an elementary knowledge of basic algebra. The text nevertheless leads to problems at the forefront of current research, featuring chapters on point counting algorithms and security issues. The Adopted unifying approach treats with equal care elliptic curves over fields of even characteristic, which are especially suited for hardware implementations, and curves over fields of odd characteristic, which have traditionally received more attention. Elliptic Curves and Their Applications: An Introduction has been used successfully for teaching advanced undergraduate courses. It will be of greatest interest to mathematicians, computer scientists, and engineers who are curious about elliptic curve cryptography in practice, without losing the beauty of the underlying mathematics.


Cryptography for Developers

Cryptography for Developers
Author: Tom St Denis
Publisher: Elsevier
Total Pages: 449
Release: 2006-12-01
Genre: Computers
ISBN: 0080503454

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The only guide for software developers who must learn and implement cryptography safely and cost effectively. Cryptography for Developers begins with a chapter that introduces the subject of cryptography to the reader. The second chapter discusses how to implement large integer arithmetic as required by RSA and ECC public key algorithms The subsequent chapters discuss the implementation of symmetric ciphers, one-way hashes, message authentication codes, combined authentication and encryption modes, public key cryptography and finally portable coding practices. Each chapter includes in-depth discussion on memory/size/speed performance trade-offs as well as what cryptographic problems are solved with the specific topics at hand. The author is the developer of the industry standard cryptographic suite of tools called LibTom A regular expert speaker at industry conferences and events on this development


Cryptographic Hardware and Embedded Systems - CHES 2004

Cryptographic Hardware and Embedded Systems - CHES 2004
Author: Marc Joye
Publisher: Springer
Total Pages: 466
Release: 2004-07-08
Genre: Computers
ISBN: 3540286322

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These are the proceedings of CHES 2004, the 6th Workshop on Cryptographic Hardware and Embedded Systems. For the first time, the CHES Workshop was sponsored by the International Association for Cryptologic Research (IACR). This year, the number of submissions reached a new record. One hundred and twenty-five papers were submitted, of which 32 were selected for presentation. Each submitted paper was reviewed by at least 3 members of the program committee. We are very grateful to the program committee for their hard and efficient work in assembling the program. We are also grateful to the 108 external referees who helped in the review process in their area of expertise. In addition to the submitted contributions, the program included three - invited talks, by Neil Gershenfeld (Center for Bits and Atoms, MIT) about "Physical Information Security", by Isaac Chuang (Medialab, MIT) about "Quantum Cryptography", and by Paul Kocher (Cryptography Research) about "Phy- cal Attacks". It also included a rump session, chaired by Christof Paar, which featured informal talks on recent results. As in the previous years, the workshop focused on all aspects of cryptographic hardware and embedded system security. We sincerely hope that the CHES Workshop series will remain a premium forum for intellectual exchange in this area